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<p><strong>Pregunta: CII - Derivación implícita 4 - D</strong></p> <p>Sea «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»z«/mi»«mo»=«/mo»«mi»z«/mi»«mo»(«/mo»«mi»x«/mi»«mo»,«/mo»«mi»y«/mi»«mo»)«/mo»«/math» una función definida implícitamente por la ecuación:</p> <p style="text-align: center;">«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mn»3«/mn»«msup»«mi»e«/mi»«mi»x«/mi»«/msup»«mi»z«/mi»«mo»+«/mo»«msup»«mi»y«/mi»«mn»3«/mn»«/msup»«mo»-«/mo»«mi»y«/mi»«mi»x«/mi»«msup»«mi»z«/mi»«mn»3«/mn»«/msup»«mo»=«/mo»«mo»#«/mo»«mi»d«/mi»«/math»</p> <p style="text-align: left;">Si «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»z«/mi»«mo»(«/mo»«mn»0«/mn»«mo»,«/mo»«mo»#«/mo»«mi»b«/mi»«mo»)«/mo»«mo»=«/mo»«mo»#«/mo»«mi»c«/mi»«/math» entonces</p> <ol> <li style="text-align: left;">«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mfrac»«mrow»«mo»§#8706;«/mo»«mi»z«/mi»«/mrow»«mrow»«mo»§#8706;«/mo»«mi»x«/mi»«/mrow»«/mfrac»«mo»(«/mo»«mn»0«/mn»«mo»,«/mo»«mo»#«/mo»«mi»b«/mi»«mo»)«/mo»«mo»=«/mo»«/math» {1:SA:%100%#sol1}</li> <li style="text-align: left;">«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mfrac»«mrow»«mo»§#8706;«/mo»«mi»z«/mi»«/mrow»«mrow»«mo»§#8706;«/mo»«mi»y«/mi»«/mrow»«/mfrac»«mo»(«/mo»«mn»0«/mn»«mo»,«/mo»«mo»#«/mo»«mi»b«/mi»«mo»)«/mo»«mo»=«/mo»«/math» {1:SA:%100%#sol2}</li> </ol>
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Friday, 6 February 2015, 4:35 PM
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